Kelly had 24 dimes and quarters worth $3.60. How many of each coin does she have

Answer 1

d = number of dimes at 0.10 each

q = number of quarters at 0.25 each

d + q = 24

0.10d + 0.25q = 3.60

From the first equation, get

d = 24 - q

and plug that into the second equation, and get

0.10(24 - q) + 0.25q = 3.60

Can you solve for q, then get d, and finish from here? The final answer is 16 dimes and 8 nickels.